This book is planned for the use of first semester students in the special preparatory program for entry into Japanese universities at the Center of Foundation Studies in Science University of Malaya (PASUM). Topics discussed in the book include series, differentiation and probability, which are also part of the syllabus for the physical and biological sciences students of PASUM and the Matriculation College of the Ministry of Education. The authors are experienced lecturers who have been with PASUM for more than 20 years. The book is a collection of their notes over the years.